| Abstrakt: |
We introduce current-preserving operads, which are colored operads together with an additive semigroup structure on the set G of colors. This is the natural framework in which types of G-graded algebras can be dealt with. As an example of application, we deform the NAP operad into the pre-Lie operad in this context, where G is the additive semigroup of positive integers. More precisely, we give a family of current-preserving operads, depending on a scalar parameter λ, such that , respectively, , is the current-preserving operad governing graded NAP (respectively, pre-Lie) algebras. [ABSTRACT FROM AUTHOR] |
